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Abstract:

We study a nonlinear elliptic second order problem with a nonlinear boundary condition. Assuming the existence of an ordered couple of a supersolution and a subsolution, we develop a quasilinearization method in order to construct an iterative scheme that converges to a solution. Furthermore, under an extra assumption we prove that the convergence is quadratic. © 2006 Elsevier Ltd. All rights reserved.

Registro:

Documento: Artículo
Título:A quasilinearization method for elliptic problems with a nonlinear boundary condition
Autor:Amster, P.; De Nápoli, P.
Filiación:FCEyN, Departamento de Matemática, Universidad de Buenos Aires, Ciudad Universitaria, Pabellon I, 1428 Buenos Aires, Argentina
Consejo Nacional de Investigaciones Científicas Y Técnicas (CONICET), Argentina
Palabras clave:Elliptic PDEs; Nonlinear boundary conditions; Quasilinearization method; Upper and lower solutions; Boundary conditions; Convergence of numerical methods; Iterative methods; Linearization; Partial differential equations; Elliptic partial differential equations; Nonlinear boundary conditions; Quasilinearization method; Upper and lower solutions; Nonlinear equations
Año:2007
Volumen:66
Número:10
Página de inicio:2255
Página de fin:2263
DOI: http://dx.doi.org/10.1016/j.na.2006.03.016
Título revista:Nonlinear Analysis, Theory, Methods and Applications
Título revista abreviado:Nonlinear Anal Theory Methods Appl
ISSN:0362546X
CODEN:NOAND
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v66_n10_p2255_Amster

Referencias:

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Citas:

---------- APA ----------
Amster, P. & De Nápoli, P. (2007) . A quasilinearization method for elliptic problems with a nonlinear boundary condition. Nonlinear Analysis, Theory, Methods and Applications, 66(10), 2255-2263.
http://dx.doi.org/10.1016/j.na.2006.03.016
---------- CHICAGO ----------
Amster, P., De Nápoli, P. "A quasilinearization method for elliptic problems with a nonlinear boundary condition" . Nonlinear Analysis, Theory, Methods and Applications 66, no. 10 (2007) : 2255-2263.
http://dx.doi.org/10.1016/j.na.2006.03.016
---------- MLA ----------
Amster, P., De Nápoli, P. "A quasilinearization method for elliptic problems with a nonlinear boundary condition" . Nonlinear Analysis, Theory, Methods and Applications, vol. 66, no. 10, 2007, pp. 2255-2263.
http://dx.doi.org/10.1016/j.na.2006.03.016
---------- VANCOUVER ----------
Amster, P., De Nápoli, P. A quasilinearization method for elliptic problems with a nonlinear boundary condition. Nonlinear Anal Theory Methods Appl. 2007;66(10):2255-2263.
http://dx.doi.org/10.1016/j.na.2006.03.016